Given the function on $\displaystyle [0,1]$: $\displaystyle f(x) =
\begin{cases}
0 & \text{if } x \notin \mathbb{Q} \\
\frac{1}{q}e^{sin(p)} & \text{if } x =\frac{p}{q} reduced
\end{cases} $
1. Check the Oscillation $\displaystyle f(x)$ in every point.
2. Is $\displaystyle f(x)$ integrable?



Thank you!